1st PUC Mathematics Series-2

Q.11 In a room containing 28 people, there are 18 people who speak English, 15 people
who speak Hindi and 22 people who speak Kannada, 9 persons speak both English
and Hindi, 11 persons speak both Hindi and Kannada where as 13 person speak
both Kannada and English. How+ many people speak all the three languages?

Q.12 Order of the power set of a set of order n is

Q.13 In a beauty contest, half the number of experts voted for Mr. A and two thirds voted
for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were
there in all?

Q.14 Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how
many ordered pairs (a, b) are there with a ∈ A and b ∈ B ?

Q.15 . The set of all Equivalence classes of a set A of cardinality C

Q.16 In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics,
those whose numbers are divisible by 5 opt for Chemistry and those whose numbers are
divisible by 7 opt for Math. How many opt for none of the three subjects?

Q.31n the modern periodic table, the number of period of the element is the same as

Q.17 Of the 200 candidates who were interviewed for a position at a call center, 100 had a
two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both,
a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and
60 had both, a two wheeler and mobile phone and 10 had all three. How many
candidates had none of the three?

Q.18 In a class of 40 students, 12 enrolled for both English and German. 22 enrolled for
German. If the students of the class enrolled for at least one of the two subjects, then
how many students enrolled for only English and not German?

Q.19 In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If
15% of the students enrolled for both Math and Economics, what % of the students
of the class did not enroll for either of the two subjects?

Q.20 In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person
like at least one of the two drinks. How many like both coffee and tea?